CN114184682A - Dual-chaotic system detection method for weak ultrasonic guided wave signals - Google Patents
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Abstract
The invention provides a dual chaotic system detection method of weak ultrasonic guided wave signals, which comprises the following steps: determining a target signal, constructing a first chaotic system, determining a first chaotic system threshold value, constructing a first chaotic detection system, identifying a target signal amplitude value, determining the reduction of the first chaotic system threshold value when considering phase influence, constructing a second chaotic system, constructing a second chaotic detection system, detecting and positioning the target signal by combining the first chaotic detection system, and quantitatively detecting the pipeline defect to determine the position and the size of the pipeline defect. The invention utilizes the double-chaos detection system to quickly and accurately detect the occurrence time of the defect echo target signal through the phase difference, saves the solving resource, improves the analysis efficiency and provides a direction for detecting small defects or long distance.
Description
Technical Field
The invention belongs to the field of ultrasonic guided wave nondestructive detection methods, and particularly relates to a dual chaotic system detection method for weak ultrasonic guided wave signals.
Background
The guided wave is considered to have unique advantages in detecting buried pipelines and pipelines with wrapping layers because of the advantages of long propagation distance, capability of simultaneously detecting defects on the surface and the inside of the pipeline and the like, however, for small-defect or long-distance defect detection, a defect echo obtained by testing is often very weak and even completely submerged in a noise signal.
In order to overcome the difficulty, researchers utilize the small defect of the sensitivity enhancement of the chaotic system to detect. However, signal identification using the chaos detection system can only determine whether the signal to be detected contains a defect echo, but cannot determine the occurrence time and size of the defect echo, which becomes a difficult problem to overcome in the field, so that the chaos detection method has very limited application in ultrasonic guided wave signal detection.
The invention discloses a method for identifying ultrasonic guided waves of an inclined crack pipeline by using an improved duffing chaotic system, which comprises the following steps: 1) exciting an ultrasonic guided wave signal on one side end face of the pipeline to enable the ultrasonic guided wave to traverse all positions of the pipeline; 2) receiving an ultrasonic guided wave echo signal at a receiving end near the excitation end and recording a time history curve propagated in an ultrasonic guided wave pipeline, wherein the ultrasonic guided wave echo signal comprises an end face echo signal, a noise signal and a bevel crack defect signal submerged in noise; 3) and detecting and analyzing the ultrasonic guided wave echo signals by using the improved duffing chaotic system, extracting and identifying the inclined crack defect information submerged in the noise, and obtaining the inclined crack defect condition of the whole pipeline. Although the method can detect weak defect echo signals, the amplitude and the occurrence time of the signals cannot be positioned, and quantitative analysis of defects cannot be realized.
The invention discloses a method for positioning and detecting small defects of ultrasonic guided waves by combining a TR system and a Duffing system, which is applied to CN 105954358B in China, and comprises the following steps: 1) exciting an ultrasonic guided wave signal on one end face of the pipeline to enable the ultrasonic guided wave to traverse all positions of the pipeline; 2) receiving an ultrasonic guided wave echo signal at the other end surface near the excitation end and recording a time history curve propagated in the ultrasonic guided wave pipeline; 3) detecting and analyzing the ultrasonic guided wave echo signals by using an improved duffing chaotic system, and extracting and identifying small defect information submerged in noise; 4) carrying out time reversal on the obtained signal with the small defect information and then carrying out secondary excitation; 5) an inverted signal is received. The chaos detecting system is an auxiliary means to judge whether the detecting signal contains defect signal to decide whether the time reversal detecting is necessary.
Therefore, in order to realize the detection, quantification and positioning technologies of the defect echo signals at the same time, it is very urgent and necessary to find a dual-chaos system detection method of the weak ultrasonic guided wave signals to solve the problem that the quantitative analysis of the defect signals cannot be performed in the field.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a method for detecting a double-chaotic system of a weak ultrasonic guided wave signal. The method comprises the steps of determining a target signal, constructing a first chaotic system, determining a first chaotic system threshold value, constructing a first chaotic detection system, identifying a target signal amplitude value, determining the reduction amount of the first chaotic system threshold value when the phase influence is considered, constructing a second chaotic system, constructing a second chaotic detection system, detecting and positioning the target signal, and quantitatively detecting the pipeline defect to determine the position and the size of the pipeline defect. The invention utilizes the double-chaos detection system to quickly and accurately detect the occurrence time of the defect echo target signal through phase difference compensation, saves solving resources, improves analysis efficiency, and provides direction for small defect or long-distance detection.
The invention provides a method for detecting a double-chaotic system of weak ultrasonic guided wave signals, which comprises the following steps:
s1, determining a target signal: setting a target signal as a modulated single-frequency signal s (t);
s2, constructing a first chaotic system and determining a first chaotic system threshold value Fc1;
S21, constructing a first chaotic system by a Duffing equation:
wherein ω represents the first outer driving force circle frequency; c represents a first damping and is constant; x represents a displacement variable of the chaotic system; f represents the magnitude of the external driving force; t represents the evolution time of the chaotic system;
s22, under the condition of a first parameter, converting the external driving force amplitude F to obtain a first chaotic system threshold F converted from a periodic state to a chaotic statec1Taking the parameter as a first chaotic system threshold value Fc1A system determined by the first damping c and the first external driving force circular frequency omega is set as a first chaotic system;
s3, constructing a first chaotic detection system and identifying a target signal amplitude: a target signal is superposed on an external driving force item on the right side of the formula (2) to construct a first chaotic detection system, and a target signal part is superposed to realize the identification of the amplitude of the target signal;
s4, determining the threshold reduction amount of the first chaotic system when the phase influence is considered;
s41, assuming that the target signal in the step S1 is out of phase with the right external driving force in the formula (2) in the step S2When in useIn time, the first chaotic detecting system in step S3 becomes:
wherein, ω is1Represents the target signal circular frequency, and12 pi f, f denotes the target signal frequency; n represents the number of troughs of the target signal; k is an integer; a represents the target signal amplitude; Δ t represents a target signal length, and Δ t ═ 2 π n/ω;
s42, when the phase influence is considered, the threshold decrease amount Δ F of the first chaotic system becomes:
when in useWhen the target signal amplitude A is obtained, the threshold reduction quantity delta F of the first chaotic system obtains the maximum value;
s5, constructing a second chaotic system and constructing a second chaotic detection system, and performing target signal positioning by combining the second chaotic detection system and the first chaotic detection system;
s51, adding an initial phase to the external driving force of the first chaotic systemThe phase compensation is performed, and equation (7) becomes:
s52, transforming the initial phaseSuperposing the target signals, reducing the driving force amplitude value after the system enters the chaotic state, enabling the system to return to the periodic state again, recording the driving force amplitude value reduction quantity as a threshold value reduction quantity delta F of the first chaotic system, recording delta F as 0 if the system is still in the periodic state, and drawingCurve whenIn time, the threshold reduction amount Δ F of the first chaotic system takes a maximum value of (Δ F)maxWhen the phase is A, the initial phase is recordedIs composed of
S53, constructing a second chaotic system: under the condition of a second parameter, the amplitude F of the external driving force is converted to obtain the second parameter of the system from the periodic state to the chaotic stateTwo chaos system threshold Fc2(ii) a Taking the parameter as a second chaotic system threshold value Fc2A second damping c2Second external driving force circular frequency omega2The determined system is set as a second chaotic system;
s54, constructing a mathematical model of the second chaotic detection system:
wherein,a second external driving force compensation initial phase representing a second chaotic detection system;
s55, converting the second external driving force initial phase of the second chaotic detection systemSuperposing the target signals, reducing the driving force amplitude value after the system enters the chaotic state, enabling the system to return to the periodic state again, recording the driving force amplitude value reduction quantity as a threshold value reduction quantity delta F of the second chaotic system, recording delta F as 0 if the system is still in the periodic state, and drawingThe curve marks the maximum value of the threshold value reduction quantity delta F of the second chaotic systemIs composed of
S56 peak generation time t of target signalxComprises the following steps:
wherein T represents the length of a signal to be detected;
initial time t of superposition of signals to be detected0Obtaining the real peak occurrence time t of the target signaldComprises the following steps:
and completing the detection and positioning of the target signal.
Further, the step S3 specifically includes the following steps:
s31, superimposing the target signal onto the external driving force on the right side of the Duffing equation, and the first chaotic detection system is:
s32, examining the superimposed target signal portion, including:
s33, wherein n in the formula (4) is not more than 20, and meets the limiting condition, the latter two terms are negligible at this time, and are as follows:
s34, when the Duffing equation is in the critical state of cycle-to-chaos transition, the guided wave signals are superposed, the system changes into the chaos state, and F in the formula (5) is reducedc1So that it enters the cycle again, the threshold decrease amount Δ F of the first chaotic system:
ΔF=A (6);
the identification of the target signal amplitude is achieved by using equation (6).
Preferably, in the step S1, the target signal S (t) satisfies a functional relationship:
preferably, the first parameter condition in step S2 is a first damping c-c of the first chaotic system1And the first external driving force circular frequency omega of the first chaotic system and the target signal circular frequency omega1Unity, i.e. ω ═ ω1。
Preferably, the second parameter condition in step S53 is that the second damping of the second chaotic system is the same as the first damping of the first chaotic system, i.e. c2=c=c1And a second external driving force circular frequency omega of the second chaotic system2Satisfies the relationship:
(ω1-ω2)T=π (10)。
preferably, the limiting condition in step S33 is that when the frequency of the signal to be detected is different from the driving force frequency of the Duffing equation by more than 3%, the signal to be detected will not cause the solution of the Duffing equation to change.
Preferably, in the step S41The steps S51 and S54 perform target signal generation timing detection by driving force phase compensation of the dual chaotic detection system in relation to the target signal generation timing.
In a preferred embodiment of the present invention, the method of the present invention can be applied to the quantitative detection of pipe defects. It also includes the following steps:
s6, carrying out quantitative detection on the pipeline defects: determining the position and size of the pipeline defect based on the propagation speed of the ultrasonic guided wave and the reflection law of the ultrasonic guided wave vertically incident in the structure;
s61, when the propagation velocity of the ultrasonic guided wave is known as c, the real peak occurrence time t of the target signal is obtained in step S5dI.e. the moment of occurrence of the defect echo, the distance L from the defect to the signal excitation, i.e. the reception position, is calculatedx:
S62, according to the reflection law of the ultrasonic guided wave vertically incident in the structure, obtaining a reflection coefficient R as follows:
wherein β represents a structural section loss rate;
s63, the reflection coefficient R is the defect echo amplitude AdA and incident wave amplitude A0The ratio of:
wherein K represents an attenuation correction coefficient, 0< K < 1;
s64, obtaining structural section loss ratio β from equations (15) and (16):
s65, based on the structure section loss rate beta and the distance L between the defect and the signal excitation or receiving positionxAnd determining the position and the size of the pipeline defect.
Compared with the prior art, the invention has the technical effects that:
1. the invention provides a double-chaos system detection method of weak ultrasonic guided wave signals, which takes a Duffing equation critical state converted from a period to a chaos state as a chaos detection system, superposes a target signal on a driving force item, the system is converted into the chaos state, and then the amplitude of the driving force is adjusted to return the system to the period state, and the amplitude of the target signal is determined by the amplitude adjustment quantity of the driving force; the amplitude of the weak signal is detected by using the chaotic system, and a basis is provided for the evaluation of the size of the target signal.
2. The invention provides a method for detecting a dual chaotic system of weak ultrasonic guided wave signals, which constructs two driving force with different frequenciesAnd the Duffing chaotic system meeting a certain relation carries out initial phase compensation on the driving force item constructed by the double chaotic system, simultaneously carries out weak signal detection and respectively draws the two systemsDetermining the occurrence time of a target signal through the phase difference corresponding to the peak values of the two curves so as to determine the defect position; by using the double-chaos detection system, the occurrence time of the target signal is quickly and accurately detected through the phase difference, the solving resource is saved, the analysis efficiency is improved, and the proposed utilizationThe curve is used for analyzing the signal amplitude and the occurrence time, and has the advantages of intuition and quickness.
3. According to the double-chaos system detection method for the weak ultrasonic guided wave signals, on the aspect of quantitative detection of the pipeline defects, weak defect echoes are caused by small defects, and meanwhile, the ultrasonic guided wave signals are propagated for a long distance, so that the defect echoes are very weak.
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Other features, objects and advantages of the present application will become more apparent upon reading of the following detailed description of non-limiting embodiments thereof, made with reference to the accompanying drawings.
FIG. 1 is a flow chart of a dual chaotic system detection method of weak ultrasonic guided wave signals of the present invention;
FIG. 2 is a graph of a target signal to be identified in accordance with the present invention;
FIG. 3 is a schematic diagram of the pipeline ultrasonic guided wave defect detection of the present invention;
FIG. 4a is a diagram of the experimental setup of an embodiment of the present invention;
FIG. 4b is an experimental schematic of one embodiment of the present invention;
FIG. 5a is a graph of an ultrasonic guided wave test signal for an intact pipe according to an embodiment of the present invention;
FIG. 5b is a diagram of an ultrasonic guided wave test signal for a damaged pipe according to an embodiment of the present invention;
FIG. 6a is a graph showing the effect of a perfect pipeline signal after being filtered by a Butterworth band-pass filter according to the present invention;
FIG. 6b is a diagram showing the effect of the signal of the damaged pipeline after being filtered by the Butterworth band-pass filter according to the present invention;
FIG. 7a is a graph of the first chaotic detection system for intact pipes, in accordance with the present invention;
FIG. 7b is a diagram of the second chaotic detection system for intact pipes, in accordance with the present invention;
FIG. 8a is a diagram of the first chaotic detection system for damaged pipelines according to the present invention;
FIG. 8b is a diagram of the identification result of the second chaotic detection system for damaged pipelines in accordance with the present invention.
Detailed Description
The present application will be described in further detail with reference to the following drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the relevant invention and not restrictive of the invention. It should be noted that, for convenience of description, only the portions related to the related invention are shown in the drawings.
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
Fig. 1 shows a dual chaotic system detection method of a weak ultrasonic guided wave signal of the present invention, which comprises the following steps:
s1, determining a target signal: setting the target signal as a single-frequency signal s (t) modulated by a Hanning window, and satisfying the functional relation:
wherein, ω is1Represents the target signal circular frequency, and12 pi f, f denotes the target signal frequency; n represents the number of troughs of the target signal; a represents the target signal amplitude; Δ t represents the target signal length, and Δ t ═ 2 π n/ω.
In one embodiment, the frequency f is 70kHz, and in order to match the chaotic system solution, unit transformation is performed, where 70kHz is 0.07(1/μ s), ω 12 pi · 0.07rad/μ s ≈ 0.439823rad/μ s. Taking a complete wave packet length as 142 μ s, a ═ 0.1mV, n ═ 10, Δ t ≈ 142(μ s), the target signal shape to be identified is shown in fig. 2.
S2, constructing a first chaotic system and determining a first chaotic system threshold value Fc1。
S21, constructing a first chaotic system by a Duffing equation:
wherein ω represents the first outer driving force circle frequency; c represents a first damping and is constant; x represents a displacement variable of the chaotic system; f represents the magnitude of the external driving force; and t represents the evolution time of the chaotic system.
S22, under the condition of a first parameter, converting the amplitude F of the external driving force to obtain a first chaotic system threshold value F of the system from the periodic state to the chaotic statec1Taking the parameter as a first chaotic system threshold value Fc1A system determined by the first damping c and the first external driving force circular frequency omega is set as a first chaotic system; the first parameter condition is that a first damping c of the first chaotic system is c1And the first external driving force circular frequency omega of the first chaotic system and the target signal circular frequency omega1Unity, i.e. ω ═ ω1。
In a specific embodiment, the first damping c is 0.4, and the critical value of the transition of the system from the periodic state to the chaotic state is obtained as Fc10.45781, the parameter is Fc1=0.45781,c=0.4,ω=ω1The determined system is set as a first chaotic system.
S3, constructing a first chaotic detection system and identifying a target signal amplitude: and (3) superposing the target signal to the external driving force on the right side of the formula (2) to construct a first chaotic detection system, superposing the target signal part, and realizing the identification of the target signal amplitude.
S31, superimposing the target signal onto the external driving force on the right side of the Duffing equation, and the first chaotic detection system is:
s32, examining the superimposed target signal portion, including:
s33, wherein n in the formula (4) is not more than 20, and the limiting condition is satisfied: when the frequency of the signal to be detected is different from the frequency of the driving force of the Duffing equation by more than 3 percent, the signal to be detected can not cause the change of the solution of the Duffing equation. At this time, the last two terms are negligible, among them:
s34, when the Duffing equation is in the critical state of cycle-to-chaos transition, the guided wave signals are superposed, the system changes into the chaos state, and F in the formula (5) is reducedc1So that it enters the cycle again, the threshold decrease amount Δ F of the first chaotic system:
ΔF=A (6);
the identification of the target signal amplitude is achieved by using equation (6).
And S4, determining the threshold reduction amount of the first chaotic system when the phase influence is considered.
S41, assuming that the target signal in the step S1 has a phase difference with the right side external driving force item in the formula (2) in the step S2When in useIn time, the first chaotic detecting system in step S3 becomes:
S42, when the phase influence is considered, the threshold decrease amount Δ F of the first chaotic system becomes:
when in useAnd obtaining the maximum value of the threshold reduction quantity delta F of the first chaotic system, wherein the maximum value is the target signal amplitude A.
And S5, constructing a second chaotic system and constructing a second chaotic detection system, and performing target signal positioning by combining the second chaotic detection system and the first chaotic detection system.
S51, adding an initial phase to the external driving force of the first chaotic systemThe phase compensation is performed, and equation (7) becomes:
s52, transforming the initial phaseSuperposing the target signal, if the system enters the chaotic state, reducing the driving force amplitude to make the system return to the periodic state again, and recording the driving force amplitudeThe reduction is the threshold reduction amount delta F of the first chaotic system, if the system still keeps a periodic state, the delta F is recorded as 0, and the graph is drawnCurve whenIn time, the threshold reduction amount Δ F of the first chaotic system takes a maximum value of (Δ F)maxWhen the phase is A, the initial phase is recordedIs composed of
S53, constructing a second chaotic system: under the condition of a second parameter, the external driving force amplitude F is converted to obtain a second chaotic system threshold value F for the system to be converted from the periodic state to the chaotic statec2(ii) a Taking the parameter as a second chaotic system threshold value Fc2A second damping c2Second external driving force circular frequency omega2The determined system is set as a second chaotic system; the second parameter condition in step S53 is that the second damping of the second chaotic system is the same as the first damping of the first chaotic system, i.e. c2=c=c1And a second external driving force circular frequency omega of the second chaotic system2Satisfies the relationship:
(ω1-ω2)T=π (10)
wherein T represents the length of the signal to be detected.
In a specific embodiment, the second damping c2Obtaining a critical value F of the system from the periodic state to the chaotic state as 0.4c20.45609, the parameter is Fc2=0.45609,c2=0.4,The determined system is set as a second chaotic system.
S54, constructing a mathematical model of the second chaotic detection system:
wherein,and a second external driving force compensation initial phase of the second chaotic detecting system is shown.
S55, converting the second external driving force initial phase of the second chaotic detection systemSuperposing the target signals, reducing the driving force amplitude value after the system enters the chaotic state, enabling the system to return to the periodic state again, recording the driving force amplitude value reduction quantity as a threshold value reduction quantity delta F of the second chaotic system, recording delta F as 0 if the system is still in the periodic state, and drawingThe curve marks the maximum value of the threshold value reduction quantity delta F of the second chaotic systemIs composed of
S56 peak generation time t of target signalxComprises the following steps:
initial time t of superposition of signals to be detected0Obtaining the real peak occurrence time t of the target signaldComprises the following steps:
and completing the detection and positioning of the target signal.
S6, carrying out quantitative detection on the pipeline defects: the position and the size of the pipeline defect are determined based on the propagation speed of the ultrasonic guided wave and the reflection law of the ultrasonic guided wave vertically incident in the structure, and a pipeline ultrasonic guided wave defect detection schematic diagram is shown in fig. 3.
S61, when the propagation velocity of the ultrasonic guided wave is known as c, the real peak occurrence time t of the target signal is obtained in step S5dI.e. the moment of occurrence of the defect echo, the distance L from the defect to the signal excitation, i.e. the reception position, is calculatedx:
Since the reflection coefficient of the defect echo is in direct proportion to the size of the defect, the reflection coefficient can be used for solving the reflection coefficient after the defect echo amplitude is identified by using the first chaotic detection system, so that the size of the defect is obtained.
S62, according to the reflection law of the ultrasonic guided wave vertically incident in the structure, obtaining a reflection coefficient R as follows:
where β represents a structural section loss rate.
S63, the reflection coefficient R is the defect echo amplitude AdA and incident wave amplitude A0The ratio of:
where K represents the attenuation correction coefficient, 0< K < 1.
S64, obtaining structural section loss ratio β from equations (15) and (16):
s65, based on the structure section loss rate beta and the distance L between the defect and the signal excitation or receiving positionxAnd determining the position and the size of the pipeline defect.
In order to verify the effectiveness of the method, experimental studies were carried out on a seamless steel tube of 5m length, the equipment used is shown in fig. 4a and mainly comprises: the system comprises an arbitrary signal generator, a low-frequency amplifier and an oscilloscope, and adopts a piezoelectric transducer to excite and collect ultrasonic guided wave signals. The test system was set up as shown in fig. 4b and used a Hanning window modulated signal with n-10 and a center frequency of 70kHz as the excitation signal.
3 working conditions shown in table 1 are set, wherein the working condition 1 is a perfect pipeline, then a cutting machine is used for machining crack simulation defects at a position 3m away from an excitation end, and the cross section is reduced by 3.2% and 6.4% respectively to be the working condition 2 and the working condition 3.
TABLE 1
Fig. 5a and 5b show the test signal for a 3.2% loss in section of a sound pipe compared to a sound pipe, respectively, and it can be seen that the defect echo is not clearly seen in the loss pipe test signal compared to the sound pipe. On the left in FIGS. 5a and 5b is the incident wave ω1Right side is end face echo omega2And the middle part is a signal Cs to be detected.
In the conventional detection method, the influence of noise can be reduced in a filtering mode, so that defect echo information is obtained. According to the method, the test signal in the figure 4 is filtered by using a Butterworth band-pass filter, wherein the center frequency is 70kHz, the low-frequency cut-off frequency is 60kHz, and the high-frequency cut-off frequency is 80 kHz. The effect of the filtered intact pipe and the loss of 3.2% in section is shown in fig. 6a and 6b, respectively. In the fig. 6a and 6B diagrams the upper line is the original signal a and the lower line is the filtered signal B.
Obviously, the defect echo is still difficult to observe under the damage working condition after filtering, which mainly lies in that a small defect causes a weak defect echo, and meanwhile, the ultrasonic guided wave signal is propagated for a long distance, so that the defect echo is very weak.
The double-chaos detection system can effectively identify the small defect echo information:
when a signal between an incident wave under a perfect pipeline working condition and an end face echo (0.65 ms-1.65 ms) is intercepted as a signal to be detected (see fig. 5a), T is 1ms, because the signal does not contain a defect echo and only contains a noise signal, the signal is identified by using a double-chaos detection system, the results of a first chaos detection system and a second chaos detection system are respectively shown in fig. 7a and 7b, and therefore, no matter the first chaos detection system or the second chaos detection system, the value of delta F is very small and is distributed randomly, and the situation that no defect echo (target signal) exists in the signal to be detected is shown.
Similarly, signals between damage conditions (0.65ms to 1.65ms) are intercepted (see fig. 5b), and are identified by using a dual-chaos detection system, and the results of the first chaos detection system and the second chaos detection system are respectively shown in fig. 8a and 8b, from which it can be clearly seen thatThe peak on the curve. Note that each chaotic detection system has multiple peaks, which are periodically related to the identification result and the phase, using equation (12), as long as the guarantee is madeAndsatisfy the relationship
And (4) finishing. It can be seen that the requirement can be satisfied as long as the first peak is selected in both chaotic detection systems.
From the peaks in FIG. 8a, a defect echo peak of 0.04mV was identified, and the defect size was identified as a cross-sectional loss of 3.45% according to equation (17) with a relative error of 7.81%.
By using fig. 8a and 8b for defect localization, the wave velocity can be determined by the time difference between the incident wave and the end echo, and their propagation distance,
the initial moment of intercepting the signal is: t is t0=0.65ms。
The same method is adopted to identify another working condition, the defect size identification result is that the section loss is 6.61%, the relative error is 3.28%, the defect position identification result is 3.203m, the relative error is 6.7%, and the identification precision can meet the requirement.
The invention designs a dual chaotic system detection method of weak ultrasonic guided wave signals, which takes a Duffing equation critical state converted from a period to a chaotic state as a chaotic detection system, superposes a target signal on a driving force item, converts the system into the chaotic state, returns the system to the period state by adjusting the amplitude of the driving force, and determines the amplitude of the target signal by the amplitude adjustment amount of the driving force; the amplitude of the weak signal is detected by using the chaotic system, and a basis is provided for the evaluation of the size of the target signal; two Duffing chaotic systems with different driving force frequencies and meeting a certain relation are constructed, the initial phase of the driving force item of the double chaotic system is constructed, weak signal detection is simultaneously carried out, and the initial phase and the weak signal detection are respectively drawn for the two systemsDetermining the occurrence time of a target signal through the phase difference corresponding to the peak values of the two curves so as to determine the defect position; by using the double-chaos detection system, the occurrence time of the target signal is quickly and accurately detected through the phase difference, thereby savingSolving resources, improving analysis efficiency, and the proposed utilizationThe curve is used for analyzing the signal amplitude and the occurrence time, and has the advantages of intuition and quickness; in the quantitative detection of the pipeline defects, because the small defects cause weak defect echoes, and meanwhile, ultrasonic guided wave signals are propagated for a long distance, the defect echoes are very weak, the method can still accurately identify and is obviously superior to the traditional method, the detection efficiency of the pipeline ultrasonic guided wave detection on the small defects or the long distance is improved, and the method has important significance for improving the ultrasonic guided wave detection efficiency.
Finally, it should be noted that: although the present invention has been described in detail with reference to the above embodiments, it should be understood by those skilled in the art that: modifications and equivalents may be made thereto without departing from the spirit and scope of the invention and it is intended to cover in the claims the invention as defined in the appended claims.
Claims (8)
1. A dual chaotic system detection method of weak ultrasonic guided wave signals is characterized by comprising the following steps:
s1, determining a target signal: setting a target signal as a modulated single-frequency signal s (t);
s2, constructing a first chaotic system and determining a first chaotic system threshold value Fc1;
S21, constructing a first chaotic system by a Duffing equation:
wherein ω represents the first outer driving force circle frequency; c represents a first damping and is constant; x represents a displacement variable of the chaotic system; f represents the magnitude of the external driving force; t represents the evolution time of the chaotic system;
s22, under the condition of the first parameterAnd transforming the amplitude F of the external driving force to obtain a first chaotic system threshold value F converted from a periodic state to a chaotic statec1Taking the parameter as a first chaotic system threshold value Fc1A system determined by the first damping c and the first external driving force circular frequency omega is set as a first chaotic system;
s3, constructing a first chaotic detection system and identifying a target signal amplitude: a target signal is superposed on an external driving force item on the right side of the formula (2) to construct a first chaotic detection system, and a target signal part is superposed to realize the identification of the amplitude of the target signal;
s4, determining the threshold reduction amount of the first chaotic system when the phase influence is considered;
s41, assuming that the target signal in the step S1 is out of phase with the right external driving force in the formula (2) in the step S2When in useIn time, the first chaotic detecting system in step S3 becomes:
wherein, ω is1Represents the target signal circular frequency, and12 pi f, f denotes the target signal frequency; n represents the number of troughs of the target signal; k is an integer; a represents the target signal amplitude; Δ t represents a target signal length, and Δ t ═ 2 π n/ω;
s42, when the phase influence is considered, the threshold decrease amount Δ F of the first chaotic system becomes:
when in useWhen the temperature of the water is higher than the set temperature,obtaining the maximum value of the threshold value reduction delta F of the first chaotic system, wherein the maximum value is a target signal amplitude A;
s5, constructing a second chaotic system and constructing a second chaotic detection system, and performing target signal positioning by combining the second chaotic detection system and the first chaotic detection system;
s51, adding an initial phase to the external driving force of the first chaotic systemThe phase compensation is performed, and equation (7) becomes:
s52, transforming the initial phaseSuperposing the target signals, reducing the driving force amplitude value after the system enters the chaotic state, enabling the system to return to the periodic state again, recording the driving force amplitude value reduction quantity as a threshold value reduction quantity delta F of the first chaotic system, recording delta F as 0 if the system is still in the periodic state, and drawingCurve whenIn time, the threshold reduction amount Δ F of the first chaotic system takes a maximum value of (Δ F)maxWhen the phase is A, the initial phase is recordedIs composed of
S53, constructing a second chaotic system: under the condition of a second parameter, the external driving force amplitude F is converted to obtain a second chaos of the system from the periodic state to the chaos stateSystem threshold Fc2(ii) a Taking the parameter as a second chaotic system threshold value Fc2A second damping c2Second external driving force circular frequency omega2The determined system is set as a second chaotic system;
s54, constructing a mathematical model of the second chaotic detection system:
wherein,a second external driving force compensation initial phase representing a second chaotic detection system;
s55, converting the second external driving force initial phase of the second chaotic detection systemSuperposing the target signals, reducing the driving force amplitude value after the system enters the chaotic state, enabling the system to return to the periodic state again, recording the driving force amplitude value reduction quantity as a threshold value reduction quantity delta F of the second chaotic system, recording delta F as 0 if the system is still in the periodic state, and drawingThe curve marks the maximum value of the threshold value reduction quantity delta F of the second chaotic systemIs composed of
S56 peak generation time t of target signalxComprises the following steps:
wherein T represents the length of a signal to be detected;
initial time t of superposition of signals to be detected0Obtaining the real peak occurrence time t of the target signaldComprises the following steps:
and completing the detection and positioning of the target signal.
2. The dual chaotic system detection method for the weak ultrasonic guided wave signal according to claim 1, wherein the step S3 specifically includes the following steps:
s31, superimposing the target signal onto the external driving force on the right side of the Duffing equation, and the first chaotic detection system is:
s32, examining the superimposed target signal portion, including:
s33, wherein n in the formula (4) is not more than 20, and meets the limiting condition, the latter two terms are negligible at this time, and are as follows:
s34, when the Duffing equation is in the critical state of cycle-to-chaos transition, the guided wave signals are superposed, the system changes into the chaos state, and F in the formula (5) is reducedc1So that it enters the cycle again, the threshold decrease amount Δ F of the first chaotic system:
ΔF=A (6);
the identification of the target signal amplitude is achieved by using equation (6).
4. the method for detecting a dual chaotic system in a weak ultrasonic guided wave signal according to claim 1, wherein the first parameter condition in step S2 is a first damping c-c of a first chaotic system1And the first external driving force circular frequency omega of the first chaotic system and the target signal circular frequency omega1Unity, i.e. ω ═ ω1。
5. The dual chaotic system detection method of the weak ultrasonic guided wave signal of claim 1, wherein the second parameter condition in the step S53 is that a second damping of the second chaotic system is the same as a first damping of the first chaotic system, i.e., c2=c=c1And a second external driving force circular frequency omega of the second chaotic system2Satisfies the relationship:
(ω1-ω2)T=π (10)。
6. the dual chaotic system detection method of a weak ultrasonic guided wave signal according to claim 1, wherein the limiting condition in step S33 is that when the frequency of the signal to be detected is different from the driving force frequency of Duffing equation by more than 3%, the signal to be detected will not cause the solution of Duffing equation to change.
7. The method for detecting the dual chaotic system in the weak ultrasonic guided wave signal according to claim 1, wherein the step S41 is performed inThe steps S51 and S54 perform target signal generation timing detection by driving force phase compensation of the dual chaotic detection system in relation to the target signal generation timing.
8. The dual chaotic system detection method of weak ultrasonic guided wave signals according to claim 1, further comprising the steps of:
s6, carrying out quantitative detection on the pipeline defects: determining the position and size of the pipeline defect based on the propagation speed of the ultrasonic guided wave and the reflection law of the ultrasonic guided wave vertically incident in the structure;
s61, when the propagation velocity of the ultrasonic guided wave is known as c, the real peak occurrence time t of the target signal is obtained in step S5dI.e. the moment of occurrence of the defect echo, the distance L from the defect to the signal excitation, i.e. the reception position, is calculatedx:
S62, according to the reflection law of the ultrasonic guided wave vertically incident in the structure, obtaining a reflection coefficient R as follows:
wherein β represents a structural section loss rate;
s63, the reflection coefficient R is the defect echo amplitude AdA and incident wave amplitude A0The ratio of:
wherein K represents an attenuation correction coefficient, 0< K < 1;
s64, obtaining structural section loss ratio β from equations (15) and (16):
s65, based on the structure section loss rate beta and the distance L between the defect and the signal excitation or receiving positionxAnd determining the position and the size of the pipeline defect.
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